1. In Part A of this lab, you will measure the dimensions (length, width, diameter) of several geometric shapes. a. Using a ruler, you measure the length of a rectangle to be 12.75 cm and the width to be 3.64 cm. Calculate the area of this rectangle (show work), reporting your answer to the correct number of significant figures.

The area of this rectangle is 46.41 cm²

Step-by-step explanation:

Area of a rectangle:

The area of a rectangle of width w and length l is given by:

That is, the area of a rectangle is the multiplication of its width by its lengt.

In this question:

So

Width and length in centimeters, so the area is in square centimeters.

The area of this rectangle is 46.41 cm²

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.